29827412500480 has 448 divisors, whose sum is σ = 85513786767360. Its totient is φ = 9764769890304.

The previous prime is 29827412500463. The next prime is 29827412500499. The reversal of 29827412500480 is 8400521472892.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4082028987 + ... + 4082036293.

It is an arithmetic number, because the mean of its divisors is an integer number (190878988320).

Almost surely, 2^{29827412500480} is an apocalyptic number.

29827412500480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29827412500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42756893383680).

29827412500480 is an abundant number, since it is smaller than the sum of its proper divisors (55686374266880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29827412500480 is an equidigital number, since it uses as much as digits as its factorization.

29827412500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7987 (or 7963 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 29827412500480 in words is "twenty-nine trillion, eight hundred twenty-seven billion, four hundred twelve million, five hundred thousand, four hundred eighty".